2211013220 has 96 divisors (see below), whose sum is σ = 5084765280. Its totient is φ = 802713600.

The previous prime is 2211013219. The next prime is 2211013241. The reversal of 2211013220 is 223101122.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1528340836 + 682672384 = 39094^2 + 26128^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2211013195 and 2211013204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7063784 + ... + 7064096.

It is an arithmetic number, because the mean of its divisors is an integer number (52966305).

Almost surely, 2^2211013220 is an apocalyptic number.

2211013220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2542382640).

2211013220 is an abundant number, since it is smaller than the sum of its proper divisors (2873752060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2211013220 is a wasteful number, since it uses less digits than its factorization.

2211013220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2211013220 is about 47021.4123564999. The cubic root of 2211013220 is about 1302.7580929821.

Adding to 2211013220 its reverse (223101122), we get a palindrome (2434114342).

The spelling of 2211013220 in words is "two billion, two hundred eleven million, thirteen thousand, two hundred twenty".